3645141540 has 96 divisors (see below), whose sum is σ = 10412357760. Its totient is φ = 952528896.

The previous prime is 3645141529. The next prime is 3645141551. The reversal of 3645141540 is 451415463.

It is an interprime number because it is at equal distance from previous prime (3645141529) and next prime (3645141551).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248162 + ... + 1251078.

It is an arithmetic number, because the mean of its divisors is an integer number (108462060).

Almost surely, 2^3645141540 is an apocalyptic number.

3645141540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206178880).

3645141540 is an abundant number, since it is smaller than the sum of its proper divisors (6767216220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3645141540 is a wasteful number, since it uses less digits than its factorization.

3645141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3645141540 is about 60375.0075776393. The cubic root of 3645141540 is about 1538.9982719154.

The spelling of 3645141540 in words is "three billion, six hundred forty-five million, one hundred forty-one thousand, five hundred forty".